Question

A data set consists of the data given below plus one more data point. When the additional point is included in the data set the sample mean of the resulting data set is 24.667. What is the value of the additional data point?

47, 18, 19, 29, 25, 34, 17, 41, 21, 15, 17

Value of additional data point=

Answer 1

Solution:

Suppose , the additional data point is denoted by 'm'

So , our sample can be written as

47, 18, 19, 29, 25, 34, 17, 41, 21, 15, 17 , m

No. of observations are 12

The sample mean is given by

sample mean = (sum of the observations) / (No. of observations)

  24.667 = (47+18+19+29+25+34+17+41+21+15+17 +m) / 12

  24.667 * 12 = 283 + m

296.004 = 283 + m

m = 13.004

Value of additional data point = 13.004